Explicit bounds of complex exponential frames

: We discuss the stability of complex exponential frames in , . Specifically, we improve the -theorem and obtain explicit upper and lower bounds for some complex exponential frames perturbed along the real and imaginary axes, respectively. Two examples are given to show that the bounds are best poss...

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Bibliographic Details
Published inJournal of inequalities and applications Vol. 2006; no. 1; p. 38173
Main Authors Zhong, Hualiang, Boivin, André, Peters, Terry M
Format Journal Article
LanguageEnglish
Published BioMed Central Ltd 02.05.2006
SpringerOpen
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Summary:: We discuss the stability of complex exponential frames in , . Specifically, we improve the -theorem and obtain explicit upper and lower bounds for some complex exponential frames perturbed along the real and imaginary axes, respectively. Two examples are given to show that the bounds are best possible. In addition, the growth of the entire functions of exponential type on the integer sequence is estimated.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/1029-242X-2006-38173